OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 22, Iss. 14 — Jul. 15, 1983
  • pp: 2182–2188

Restoration of images with missing high-frequency components using quadratic programming

Nabih N. Abdelmalek  »View Author Affiliations


Applied Optics, Vol. 22, Issue 14, pp. 2182-2188 (1983)
http://dx.doi.org/10.1364/AO.22.002182


View Full Text Article

Enhanced HTML    Acrobat PDF (807 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A method for restoring an optical image which is subjected to low-pass frequency filtering is presented. It is assumed that the object whose image is restored is of finite spatial extent. The problem is treated as an algebraic image-restoration problem which is then solved as a quadratic programming problem with bounded variables. The regularization technique for the ill-posed system is to replace the consistent system of the quadratic programming problem by an approximate system of smaller rank. The rank which gives a best or near-best solution is estimated. This method is a novel one, and it compares favorably with other known methods. Computer-simulated examples are presented. Comments and conclusions are given.

© 1983 Optical Society of America

History
Original Manuscript: November 2, 1982
Published: July 15, 1983

Citation
Nabih N. Abdelmalek, "Restoration of images with missing high-frequency components using quadratic programming," Appl. Opt. 22, 2182-2188 (1983)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-22-14-2182


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. S. J. Howard, J. Opt. Soc. Am. 71, 95 (1981). [CrossRef]
  2. S. J. Howard, J. Opt. Soc. Am. 71, 819 (1981). [CrossRef]
  3. R. Mammone, G. Eichmann, J. Opt. Soc. Am. 72, 987 (1982). [CrossRef]
  4. M. Severcan, Appl. Opt. 21, 1073 (1982). [CrossRef] [PubMed]
  5. C. K. Rushforth, A. E. Crawford, Y. Zhou, J. Opt. Soc. Am. 72, 204 (1982). [CrossRef]
  6. Y. Zhou, C. K. Rushforth, Appl. Opt. 21, 1249 (1982). [CrossRef] [PubMed]
  7. N. N. Abdelmalek, “An Algorithm for the Solution of Ill-Posed Linear Systems Arising From the Discretization of Fredholm Integral Equation of the First Kind,” J. Math. Anal. Appl., 97, No. 1 (Nov.1983); accepted for publication.
  8. N. N. Abdelmalek, T. Kasvand, Appl. Opt. 19, 3407 (1980). [CrossRef] [PubMed]
  9. H. C. Andrews, B. R. Hunt, Digital Image Restoration (Prentice-Hall, Englewood Cliffs, N.J., 1977).
  10. J. M. Varah, SIAM J. Numer. Anal. 10, 257 (1973). [CrossRef]
  11. G. Peters, J. H. Wilkinson, Computer J. 13, 309 (1970). [CrossRef]
  12. N. N. Abdelmalek, Int. J. Syst. Sci. 10, 77 (1979). [CrossRef]
  13. N. N. Abdelmalek, “A fortran Program for the Solution of the Minimum Energy Problem for Discrete Linear Admissible Control systems,” NRC Tech. Rep. ERB-916 (1979).
  14. J. J. Dongarra, J. B. Bunch, C. B. Moler, G. W. Stewart, linpack Users’ Guide (Society for Industrial and Applied Mathematics, Philadelphia, Pa.1979.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited